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Finding the Fourth Proportional to 343,224, 514,235.52 and 238,109.76

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Solution

The fourth proportional to 343,224, 514,235.52 and 238,109.76 is: 356,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,224 : 514,235.52 = 238,109.76 : x
  2. Step 2: Convert to fraction form
    343,224/514,235.52 = 238,109.76/x
  3. Step 3: Cross multiply
    343,224x = 514,235.52 × 238,109.76
  4. Step 4: Simplify right side
    343,224x = 122,444,496,250.68
  5. Step 5: Solve for x
    x = 122,444,496,250.68/343,224
  6. Step 6: Final answer
    x = 356,748.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.